In the triangle below what is the tangent of 45

Posted By Admin @ September 03, 2022


In the triangle below, what is the tangent of 45°?


The tangent of 45° is 1 .

What is trigonometric ratios ?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

  • sin θ = Perpendicular/Hypotenuse
  • cos θ = Base/Hypotenuse
  • tan θ = Perpendicular/Base
  • sec θ = Hypotenuse/Base
  • cosec θ = Hypotenuse/Perpendicular
  • cot θ = Base/Perpendicular

According to the question

Hypotenuse of the right angled triangle = \sqrt{2}

Perpendicular of the right angled triangle = 1

Base of the right angled triangle = 1


Tan 45°

By using trigonometric ratios

tan θ = Perpendicular/Base

Tan 45° = \frac{Perpendicular}{Base}

Tan 45° = \frac{1}{1}

Tan 45° = 1

Hence, The tangent of 45° is 1 .

To know more about trigonometric ratios here:


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